Height of Decagon given Area Calculator

✖Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.ⓘ Area of Decagon [A]

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✖Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Decagon given Area [h]

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Height of Decagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
h = sqrt(5+(2*sqrt(5)))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5)))))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Area of Decagon - (Measured in Square Meter) - Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.

STEP 1: Convert Input(s) to Base Unit

Area of Decagon: 770 Square Meter --> 770 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(5+(2*sqrt(5)))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) --> sqrt(5+(2*sqrt(5)))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5)))))

Evaluating ... ...

h = 30.7884155072972

STEP 3: Convert Result to Output's Unit

30.7884155072972 Meter --> No Conversion Required

FINAL ANSWER

30.7884155072972 ≈ 30.78842 Meter <-- Height of Decagon

(Calculation completed in 00.006 seconds)

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Created by Mona Gladys

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< Height of Decagon Calculators

Height of Decagon given Diagonal across Five Sides

LaTeX Go Height of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))

Height of Decagon given Width

LaTeX Go Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))

Height of Decagon

LaTeX Go Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon

Height of Decagon given Inradius

LaTeX Go Height of Decagon = 2*Inradius of Decagon

Height of Decagon given Area Formula

LaTeX Go

Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
h = sqrt(5+(2*sqrt(5)))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5)))))

What is a Decagon?

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Height of Decagon given Area?

Height of Decagon given Area calculator uses Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to calculate the Height of Decagon, The Height of Decagon given Area formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using the area. Height of Decagon is denoted by h symbol.

How to calculate Height of Decagon given Area using this online calculator? To use this online calculator for Height of Decagon given Area, enter Area of Decagon (A) and hit the calculate button. Here is how the Height of Decagon given Area calculation can be explained with given input values -> 30.78842 = sqrt(5+(2*sqrt(5)))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

FAQ

What is Height of Decagon given Area?

The Height of Decagon given Area formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using the area and is represented as h = sqrt(5+(2*sqrt(5)))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) or Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.

How to calculate Height of Decagon given Area?

The Height of Decagon given Area formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using the area is calculated using Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). To calculate Height of Decagon given Area, you need Area of Decagon (A). With our tool, you need to enter the respective value for Area of Decagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Decagon?

In this formula, Height of Decagon uses Area of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Decagon = 2*Inradius of Decagon
Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon

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